Symplectically degenerate maxima via generating functions

Abstract

We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeomorphism of the standard symplectic 2d-torus are non-isolated contractible periodic points or their action is a non-isolated point of the average-action spectrum. Our argument is based on generating functions.

25 pages, thoroughly revised version, new title

References in corpus (1)

• The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems

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• On the Conley Conjecture for Reeb Flows
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